Pith Number

pith:ZCP2UDHA

pith:2000:ZCP2UDHAJEFHEW4VRP75QDU5BF

not attested not anchored not stored refs pending

Null surfaces formulation in 3D

Carlos N. Kozameh, Diego M. Forni, Mirta Iriondo

arxiv:gr-qc/0005120 v1 · 2000-05-26 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCP2UDHAJEFHEW4VRP75QDU5BF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:39:24.801736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89faa0ce0490a725b958bffd80e9d094de2163b22d2ac5eeaee265cd14f9319

Aliases

arxiv: gr-qc/0005120 · arxiv_version: gr-qc/0005120v1 · doi: 10.48550/arxiv.gr-qc/0005120 · pith_short_12: ZCP2UDHAJEFH · pith_short_16: ZCP2UDHAJEFHEW4V · pith_short_8: ZCP2UDHA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZCP2UDHAJEFHEW4VRP75QDU5BF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c89faa0ce0490a725b958bffd80e9d094de2163b22d2ac5eeaee265cd14f9319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d321e40466ac0c5b8b92c98e5954844a95f2049fe4577a4d3100ae2d570c6c3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-05-26T22:13:26Z",
    "title_canon_sha256": "2587d707eb1ccbf99376620845413b3bba36b5c2e982d6e34f2dea3e17ef097c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0005120",
    "kind": "arxiv",
    "version": 1
  }
}